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Simplifying 3(x + 1) + 4(x + -2) = 7 Reorder the terms: 3(1 + x) + 4(x + -2) = 7 (1 * 3 + x * 3) + 4(x + -2) = 7 (3 + 3x) + 4(x + -2) = 7 Reorder the terms: 3 + 3x + 4(-2 + x) = 7 3 + 3x + (-2 * 4 + x * 4) = 7 3 + 3x + (-8 + 4x) = 7 Reorder the terms: 3 + -8 + 3x + 4x = 7 Combine like terms: 3 + -8 = -5 -5 + 3x + 4x = 7 Combine like terms: 3x + 4x = 7x -5 + 7x = 7 Solving -5 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 7 + 5 7x = 7 + 5 Combine like terms: 7 + 5 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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